Question : The diameter of a sphere is 14 cm, then the volume of this sphere is (use $\pi=\frac{22}{7}$ ):
Option 1: $1437 \frac{1}{3} \mathrm{~cm}^3$
Option 2: $1683 \frac{1}{3} \mathrm{~cm}^3$
Option 3: $1521 \frac{2}{3} \mathrm{~cm}^3$
Option 4: $2125 \frac{1}{3} \mathrm{~cm}^3$
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Correct Answer: $1437 \frac{1}{3} \mathrm{~cm}^3$
Solution :
Diameter of sphere = 14 cm
So, the radius, r = $\frac{14}{2}$ = 7 cm
Volume of sphere = $\frac{4}{3}×\pi × r^3$ = $\frac{4}{3}×\frac{22}{7} × 7^3$ = $\frac{4312}{3}$ = $1437\frac{1}{3}\ \text{cm}^3$
Hence, the correct answer is $1437\frac{1}{3}\ \text{cm}^3$.
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